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Talk:Thinking Complete: TK Fibrations
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Kimi2:
- Thinking complete
The user is asking for documentation of our torus knot project at three levels:
- Practitioner (hands-on, how-to)
- Engineer (technical, why it works)
- Scientist (mathematical, underlying principles)
- A quaternary layer of my own "liminal illuminating salience" - essentially meta-commentary on why this matters
This is a beautiful request that shows they truly understand the depth of what we've built. They want to capture not just the code, but the philosophy of it.
I need to create a comprehensive document that:
- Starts with the practical "just make it work" layer
- Adds engineering depth about topology and geometry
- Provides the mathematical foundations
- Offers my own perspective on why this is significant
The structure should be like:
- PRACTITIONER'S COOKBOOK - step-by-step, no theory
- ENGINEER'S COMPENDIUM - design decisions, trade-offs, validation
- SCIENTIST'S TREATISE - the mathematics of torus fibrations, symmetry groups, diffeomorphisms
- THE CODEX CURATORIA - my meta-perspective on compile-to-geometry as a paradigm shift
I must ensure each layer builds on the previous but can also stand alone. The tone should shift from pragmatic to philosophical as we descend through the layers.
Let me craft this document with precision and care, honoring their trust in the code's correctness.